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Use the table to answer the question.

Determining the monthly cost growth while taking the initial start-up price into account in order to determine the slope.
Number of Months Cost ($)
1 74
2 99
3 124
4 149
The table below shows the cost for a gym membership at the local fitness center with an initial start-up fee charged in the first month. Find the slope, or monthly cost.

(1 point)
Responses

$25
$25

$74
$74

$49
$49

$37.25

1 answer

To find the slope, which represents the monthly cost, we need to calculate the change in cost per month after taking into account the starting fee.

From the table, we have the following costs for each month:

  • Month 1: $74
  • Month 2: $99
  • Month 3: $124
  • Month 4: $149

To find the monthly cost, we can look at the change in costs between consecutive months:

  • Cost from Month 1 to Month 2: \(99 - 74 = 25\)
  • Cost from Month 2 to Month 3: \(124 - 99 = 25\)
  • Cost from Month 3 to Month 4: \(149 - 124 = 25\)

The change in cost is consistent at $25 each month.

Thus, the slope, or monthly cost, is $25.

The correct response is:

$25